# Find the 6th Term -324 , 108 , -36 , 12

, , ,
This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by gives the next term. In other words, .
Geometric Sequence:
This is the form of a geometric sequence.
Substitute in the values of and .
Use the power rule to distribute the exponent.
Apply the product rule to .
Apply the product rule to .
One to any power is one.
Combine and .
Combine and .
Move the negative in front of the fraction.
Substitute in the value of to find the th term.
Simplify the numerator.
Subtract from .
Raise to the power of .
Simplify the denominator.
Subtract from .
Raise to the power of .
Reduce the expression by cancelling the common factors.
Multiply by .
Cancel the common factor of and .
Factor out of .
Cancel the common factors.
Factor out of .
Cancel the common factor.
Rewrite the expression.
Move the negative in front of the fraction.
Find the 6th Term -324 , 108 , -36 , 12

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